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323040324021444 = 223285710470644497
BaseRepresentation
bin100100101110011011010111…
…1110000101110110011000100
31120100210100112121102220022200
41021130312233300232303010
5314320143040422141234
63103014402013354500
7125020615242344601
oct11134665760566304
91510710477386280
10323040324021444
1193a266a52a2397
1230293466a98a30
1310b33758459763
1459ab3411c16a8
1527530480c6d99
hex125cdafc2ecc4

323040324021444 has 36 divisors (see below), whose sum is σ = 817526981114844. Its totient is φ = 107554460262912.

The previous prime is 323040324021421. The next prime is 323040324021463. The reversal of 323040324021444 is 444120423040323.

323040324021444 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 403 + 240 + 2 + 1 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289691292902400 + 33349031119044 = 17020320^2 + 5774862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3230403240214443 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 323040324021399 and 323040324021408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5235291397 + ... + 5235353100.

Almost surely, 2323040324021444 is an apocalyptic number.

It is an amenable number.

323040324021444 is an abundant number, since it is smaller than the sum of its proper divisors (494486657093400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323040324021444 is a wasteful number, since it uses less digits than its factorization.

323040324021444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10470645364 (or 10470645359 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 323040324021444 its reverse (444120423040323), we get a palindrome (767160747061767).

The spelling of 323040324021444 in words is "three hundred twenty-three trillion, forty billion, three hundred twenty-four million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 2571 3428 5142 7713 10284 15426 30852 10470644497 20941288994 31411933491 41882577988 62823866982 94235800473 125647733964 188471600946 376943201892 8973342333929 17946684667858 26920027001787 35893369335716 53840054003574 80760081005361 107680108007148 161520162010722 323040324021444